Question #226037

1.   Subtract the binary numbers 11102 from 101012

1
Expert's answer
2021-08-16T16:35:51-0400

Let us subtract the binary numbers 1110from 101012:


101012  11102    111210101_2\\ \ \ 1110_2\\ ---\\ \ \ \ \ 111_2


Let us verify using decimal system:


101012=124+023+122+02+1=16+4+1=211011102=123+122+12+0=8+4+2=14101112=122+12+1=4+2+1=71010101_2=1\cdot 2^4+0\cdot 2^3+1\cdot 2^2+0\cdot 2+1=16+4+1=21_{10} \\ 1110_2=1\cdot 2^3+1\cdot 2^2+1\cdot 2+0=8+4+2=14_{10}\\ 111_2=1\cdot 2^2+1\cdot 2+1=4+2+1=7_{10}


And 14+7=2114+7=21


Answer: 1112

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