1.

1) 101110₂ = 1*2⁵+0*2⁴+1*2³+1*2²+1*2¹+0*2⁰ = 32+0+8+4+2+0 = 46₁₀

101110₂ = 46₁₀

2) 157₈ = 1*8²+5*8¹+7*8⁰ = 64+40+7 = 111₁₀

157₈ = 111₁₀

3) 1A5₁₆ = 1*16₂+10*16₁+5*16⁰ = 256+160+5 = 421₁₀

1A5₁₆ = 421₁₀

2.

1) 0,10101₂ = 0*2⁰+1*2⁻¹+0*2⁻²+1*2⁻³+0*2⁻⁴+1*2⁻⁵ = 0+0,5+0+0,125+0+0,03125 = 0,65625₁₀

0,10101₂ = 0,65625₁₀

2) 0,0547₈ = 0*8⁰+0*8⁻¹+5*8⁻²+4*8⁻³+7*8⁻⁴ = 0+0+0,078125+0,0078125+0,001708984375 = 0,087646484375₁₀

0,0547₈ = 0,087646484375₁₀

3) 0,987₁₆ = 0*16⁰+9*16⁻¹+8*16⁻²+7*16⁻³ = 0+0,5625+0,03125+0,001708984375 = 0,595458984375₁₀

0,987₁₆ = 0,595458984375₁₀

3.

1) 1010,11₂ = 1*2³+0*2²+1*2¹+0*2⁰+1*2⁻¹+1*2⁻² = 8+0+2+0+0,5+0,25 = 10,75₁₀

1010,11₂ = 10,75₁₀

2) 101,1101₂ = 1*2²+0*2¹+1*2⁰+1*2⁻¹+1*2⁻²+0*2⁻³+1*2⁻⁴ = 4+0+1+0,5+0,25+0+0,0625 = 5,8125₁₀

101,1101₂ = 5,8125₁₀

3) 31,61₈ = 3*8¹+1*8⁰+6*8⁻¹+1*8⁻² = 24+1+0,75+0,015625 = 25,765625₁₀

31,61₈ = 25,765625₁₀

4) 13,15₈ = 1*8¹+3*8⁰+1*8⁻¹+5*8⁻² = 8+3+0,125+0,078125 = 11,203125₁₀

13,15₈ = 11,203125₁₀

5) B3,72₁₆ = 11*16¹+3*16⁰+7*16⁻¹+2*16⁻² = 176+3+0,4375+0,0078125 = 179,4453125₁₀

B3,72₁₆ = 179,4453125₁₀

6) 7A,84₁₆ = 7*16¹+10*16⁰+8*16⁻¹+4*16⁻² = 112+10+0,5+0,015625 = 122,515625₁₀

7A,84₁₆ = 122,515625₁₀

(2⁻¹ = 1 / 2¹ = 1 / 2 = 0,5)

(2⁻² = 1 / 2² = 1 / 4 = 0,25)

и т.д.