Question: Method 1 : Long - Hand ( Manual Step - by - Step ) Step 1 : Convert Binary to Decimal Converting 1 1 0

Method 1: Long-Hand (Manual Step-by-Step)
Step 1: Convert Binary to Decimal
Converting 110(binary) to Decimal
1102=(122)+(121)+(020)110_2=(1\times 2^2)+(1\times 2^1)+(0\times 2^0)1102=(122)+(121)+(020)=4+2+0=610=4+2+0=6_{10}=4+2+0=610
Converting 110101(binary) to Decimal
1101012=(125)+(124)+(023)+(122)+(021)+(120)110101_2=(1\times 2^5)+(1\times 2^4)+(0\times 2^3)+(1\times 2^2)+(0\times 2^1)+(1\times 2^0)1101012=(125)+(124)+(023)+(122)+(021)+(120)=32+16+0+4+0+1=5310=32+16+0+4+0+1=53_{10}=32+16+0+4+0+1=5310
Step 2: Convert Decimal to Hexadecimal
Converting 6(decimal) to Hexadecimal
6106_{10}610 is already less than 16, so it directly converts to 6 in hexadecimal.
610=6166_{10}=6_{16}610=616
Converting 53(decimal) to Hexadecimal
Divide 53 by 16 and record the quotient and remainder.
5316=3(quotient),5(remainder)53\div 16=3\quad \text{(quotient)},\quad 5\quad \text{(remainder)}5316=3(quotient),5(remainder)
The hexadecimal equivalent is obtained by reading the remainder and quotient in order:
5310=351653_{10}=35_{16}5310=3516

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