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Step 10 2.06DP The number conversion from decimal to other radix form is done by successive division of radix and the remainder will yield successive digits of corresponding radix form from left to right. Step 10 (a) The given decimal number, Decimal to binary conversion is done by successive division of radix and the remainder will yield successive digits from left to right. 125+2 62 remainder Least significant bit) 62+2 0 31+2 remainder 1 remainder 1 7+2 1 3+2 remainder 1 1+2 = remainder (Must significant bit) Thus, the required binary equivalent of the given decimal number 1111101, Step 10 (b) The given decimal number, Decimal to octal conversion is done by successive division of radix 8 and the remainder will yield successive digits from left to right. 436 remainder 1(Least significant bit) remainder 4 remainder 6 remainder 6 (Most significant Thus, the required octal equivalent of the given decimal number Step 10 (c) The given decimal number, Decimal to binary conversion is done by successive division of radix and the remainder will yield successive digits from left to right. remainder 10 significant bit) 52 remainder 0 52+2= 26 remainder 0 remainder 0 13+2 remainder 1 remainder 0 remainder 1 1+2 = remainder (Most significant bit) Thus, the required binary equivalent of the given decimal number is Step 5 of 10 (d) The given decimal number, Decimal to octal conversion is done by successive division of radix 8 and the remainder will yield successive digits from left to right. 9,714+8 remainder 2(Least significant bit) 151 remainder 6 151+8 remainder 7 remainder 2 2=8 2 (Most significant bit) Thus, the required octal equivalent of the given decimal number Step 10 (e) The given decimal number, Decimal to binary conversion IS done by successive division of radix and the remainder will yield successive digits from left remainder (Least significant bit) 66+2 33 remainder 0 remainder 1 0 8+2= 0 0 2+2=1 remainder 0 1+2= (Most significant bit) Thus, the required binary equivalent of the given decimal number is 10000100, (f) The given decimal number, Decimal to hexadecim conversion done by successive division of radix 16 and the remainder will yield successive digits from left B (Least significant bit) 93 remainder 2 remainder D remainder 5 (Most significant bit) Thus, the required hexadecimal equivalent of the given decimal number is 5D2B, Step 10 (g) The given decimal number, Decimal to radix 5 conversion is done by successive division of radix 5 and the remainder will yield successive digits from left to right. remainder 2 (Least significant bit) 145+5= 29 remainder 0 29:5= remainder 4 remainder 0 1+5 remainder (Most significant bit) Thus, the required radix equivalent of the given decimal number is Step 10 (h) The given decimal number, 57,190 Decimal to hexadecimal conversion done by successive division of radix 16 and the remainder will yield successive digits from left to right. remainder significant bit) remainder 6 223+16 remainder F D (Must significant bit) Thus, the required hexadecimal equivalent of the given decimal number is Step 10 (i) The given decimal number, Decimal to octal conversion is done by successive division of radix 8 and the remainder will yield successive digits from left to right. 79 remainder 3(Least significant bit) 22 remainder 3 6 remainder 2 (Most significant bit) Thus, the required octal equivalent of the given decimal number is 2633, Step 10 (j) The given decimal number, Decimal to hexadecimal conversion is done by successive division of radix 16 and the remainder will yield successive digits from left to right. 4,069 remainder significant bit) 254 remainder 5 remainder F (Most significant bit) Thus, the required hexadecimal equivalent of the given decimal number is