1. Convert mantissa 01101110 and exponent 00000100 to decimal: - Mantissa: $01101110_2 = 110_{10}$ (positive since MSB=0) - Exponent: $00000100_2 = 4_{10}$ (positive) - Value = $110 \times 2^4 = 110 \times 16 = 1760$ 2. Mantissa 00111010, exponent 00000011: - Mantissa: $00111010_2 = 58_{10}$ - Exponent: $00000011_2 = 3_{10}$ - Value = $58 \times 2^3 = 58 \times 8 = 464$ 3. Mantissa 10011000, exponent 00000010: - Mantissa is negative (MSB=1), two's complement: - Invert bits: 01100111 - Add 1: 01101000 = 104 - So mantissa = $-104$ - Exponent: $00000010_2 = 2$ - Value = $-104 \times 2^2 = -104 \times 4 = -416$ 4. Mantissa 11001000, exponent 00000110: - Mantissa negative: - Invert: 00110111 - Add 1: 00111000 = 56 - Mantissa = $-56$ - Exponent: $00000110_2 = 6$ - Value = $-56 \times 2^6 = -56 \times 64 = -3584$ 5. Mantissa 01110100, exponent 11111110: - Mantissa positive: $01110100_2 = 116$ - Exponent negative: - Invert: 00000001 - Add 1: 00000010 = 2 - Exponent = $-2$ - Value = $116 \times 2^{-2} = 116 \times \frac{1}{4} = 29$ 6. Mantissa 11001111, exponent 00000110: - Mantissa negative: - Invert: 00110000 - Add 1: 00110001 = 49 - Mantissa = $-49$ - Exponent: $6$ - Value = $-49 \times 2^6 = -49 \times 64 = -3136$ 7. Mantissa 00110011, exponent 00000101: - Mantissa positive: $00110011_2 = 51$ - Exponent: $5$ - Value = $51 \times 2^5 = 51 \times 32 = 1632$ 8. Mantissa 01001110, exponent 11111101: - Mantissa positive: $01001110_2 = 78$ - Exponent negative: - Invert: 00000010 - Add 1: 00000011 = 3 - Exponent = $-3$ - Value = $78 \times 2^{-3} = 78 \times \frac{1}{8} = 9.75$ 9. Mantissa 10110000, exponent 00000101: - Mantissa negative: - Invert: 01001111 - Add 1: 01010000 = 80 - Mantissa = $-80$ - Exponent: $5$ - Value = $-80 \times 2^5 = -80 \times 32 = -2560$ 10. Mantissa 10010011, exponent 00001001: - Mantissa negative: - Invert: 01101100 - Add 1: 01101101 = 109 - Mantissa = $-109$ - Exponent: $9$ - Value = $-109 \times 2^9 = -109 \times 512 = -55808$